The Experts below are selected from a list of 210 Experts worldwide ranked by ideXlab platform
Áurea R. Vasconcellos - One of the best experts on this subject based on the ideXlab platform.
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statistical Irreversible Thermodynamics in the framework of zubarev s nonequilibrium statistical operator method
Theoretical and Mathematical Physics, 2018Co-Authors: R Luzzi, J. G. Ramos, Áurea R. Vasconcellos, Clóves G. RodriguesAbstract:We describe the formalism of statistical Irreversible Thermodynamics constructed based on Zubarev’s nonequilibrium statistical operator (NSO) method, which is a powerful and universal tool for investigating the most varied physical phenomena. We present brief overviews of the statistical ensemble formalism and statistical Irreversible Thermodynamics. The first can be constructed either based on a heuristic approach or in the framework of information theory in the Jeffreys-Jaynes scheme of scientific inference; Zubarev and his school used both approaches in formulating the NSO method. We describe the main characteristics of statistical Irreversible Thermodynamics and discuss some particular considerations of several authors. We briefly describe how Rosenfeld, Bohr, and Prigogine proposed to derive a thermodynamic uncertainty principle.
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Statistical Irreversible Thermodynamics in the Framework of Zubarev’s Nonequilibrium Statistical Operator Method
Theoretical and Mathematical Physics, 2018Co-Authors: R Luzzi, J. G. Ramos, Áurea R. Vasconcellos, Clóves G. RodriguesAbstract:We describe the formalism of statistical Irreversible Thermodynamics constructed based on Zubarev’s nonequilibrium statistical operator (NSO) method, which is a powerful and universal tool for investigating the most varied physical phenomena. We present brief overviews of the statistical ensemble formalism and statistical Irreversible Thermodynamics. The first can be constructed either based on a heuristic approach or in the framework of information theory in the Jeffreys-Jaynes scheme of scientific inference; Zubarev and his school used both approaches in formulating the NSO method. We describe the main characteristics of statistical Irreversible Thermodynamics and discuss some particular considerations of several authors. We briefly describe how Rosenfeld, Bohr, and Prigogine proposed to derive a thermodynamic uncertainty principle.
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On the Statistical Foundations of Irreversible Thermodynamics
Protein Science, 1999Co-Authors: R Luzzi, Áurea R. Vasconcellos, J. G. RamosAbstract:We briefly, and partially, consider aspects of the present status of phenomenological Irreversible Thermodynamics and nonequilibrium statistical mechanics. After short comments on Classical Irreversible Thermodynamics, its conceptual and practical shortcomings are pointed out, as well as the efforts undertaken to go beyond its limits, consisting of particular approaches to a more general theory of Irreversible Thermodynamics. In particular, a search for statistical-mechanical foundations of Irreversible Thermodynamics, namely, the construction of a statistical Thermodynamics, are based on the Non-equilibrium Statistical Operator Method. This important theory for the treatment of phenomena at the macroscopic level, is based on a microscopic molecular description in the context of a nonequilibrium ensemble formalism. We draw attention to the fact that this method may be considered to be emcompassed within Jaynes' Predictive Statistical Mechanics and based on the principle of maximization of informational entropy. Finally, we describe how, in fact, the statistical method provides foundations to phenomenological Irreversible Thermodynamics, thus giving rise to what can be referred to as Informational Statistical Thermodynamics.
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Microscopic Approach to Irreversible Thermodynamics III: Generalized Constitutive Equations
Journal of Non-Equilibrium Thermodynamics, 1995Co-Authors: Áurea R. Vasconcellos, R. Luzzi, Leopoldo S. García-colínAbstract:This paper and the following one are part of a planned sequence of contributions on the question of the mechano-statistical foundations of Irreversible Thermodynamics and generalized hydrodynamics, based on the nonequilibrium statistical operator method via the information entropy ensemble. With this we introduce what can be termed Informational Statistical Thermodynamics. The series of papers amounts to an extension and detailed application of a general formalism initiated in papers I and II (quoted in references [12] and [13]) to study the time evolution of the variables selected to describe the nonequilibrium macroscopic states of an N-body system. These variables are to be chosen according to some criteria which the observer uses to define such states, but are otherwise arbitrary. We consider here the set that includes the ordinary fluxes of Linear Irreversible Thermodynamics (LIT), thus raising these variables to the status of state variables, to recover the results comprising the basis of what is now known as Extended Irreversible Thermodynamics (EIT). The time evolution equations for the fluxes are shown to be of the type of generalized Mori-Langevin equations that are nonlinear and nonlocal in space and in time. Under appropriate approximations such equations are reduced to those of the so-called Maxwell-Cattaneo-Vernotte type contained in EIT, which are generalizations of the usual constitutive equations of LIT. In fact, taking a linear approximation in the fluxes and a local-in-time-approach, and considering a quasi-steady state, the equations represent nonlocal-in-space generalized constitutive-like equations for the fluxes.o TEXTO COMPLETO DESTE ARTIGO, ESTARÁ DISPONÍVEL À PARTIR DE AGOSTO DE 2015.20210311
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MICROSCOPIC APPROACH TO Irreversible Thermodynamics. IV: AN EXAMPLE OF GENERALIZED DIFFUSION AND WAVE EQUATIONS
Journal of Non-Equilibrium Thermodynamics, 1995Co-Authors: Áurea R. Vasconcellos, R. Luzzi, Leopoldo S. García-colínAbstract:The theory presented in part III of this series of articles [1], based on Informational Statistical Thermodynamics, provides a far-reaching generalization of the constitutive equations of Linear Irreversible Thermodynamics, recovering as a particular case the Maxwell-Cattaneo equations of Extended Irreversible Thermodynamics. Here we apply these results, as an illustrative example, to the case of a gas of free fermions interacting with a gas of free bosons, with the latter acting as a thermal bath. For the case of heat motion, propagation of damped second sound, or diffusive movement in the overdamped regime, is obtained.o TEXTO COMPLETO DESTE ARTIGO, ESTARÁ DISPONÍVEL À PARTIR DE AGOSTO DE 2015.20211913
R Luzzi - One of the best experts on this subject based on the ideXlab platform.
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statistical Irreversible Thermodynamics in the framework of zubarev s nonequilibrium statistical operator method
Theoretical and Mathematical Physics, 2018Co-Authors: R Luzzi, J. G. Ramos, Áurea R. Vasconcellos, Clóves G. RodriguesAbstract:We describe the formalism of statistical Irreversible Thermodynamics constructed based on Zubarev’s nonequilibrium statistical operator (NSO) method, which is a powerful and universal tool for investigating the most varied physical phenomena. We present brief overviews of the statistical ensemble formalism and statistical Irreversible Thermodynamics. The first can be constructed either based on a heuristic approach or in the framework of information theory in the Jeffreys-Jaynes scheme of scientific inference; Zubarev and his school used both approaches in formulating the NSO method. We describe the main characteristics of statistical Irreversible Thermodynamics and discuss some particular considerations of several authors. We briefly describe how Rosenfeld, Bohr, and Prigogine proposed to derive a thermodynamic uncertainty principle.
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Statistical Irreversible Thermodynamics in the Framework of Zubarev’s Nonequilibrium Statistical Operator Method
Theoretical and Mathematical Physics, 2018Co-Authors: R Luzzi, J. G. Ramos, Áurea R. Vasconcellos, Clóves G. RodriguesAbstract:We describe the formalism of statistical Irreversible Thermodynamics constructed based on Zubarev’s nonequilibrium statistical operator (NSO) method, which is a powerful and universal tool for investigating the most varied physical phenomena. We present brief overviews of the statistical ensemble formalism and statistical Irreversible Thermodynamics. The first can be constructed either based on a heuristic approach or in the framework of information theory in the Jeffreys-Jaynes scheme of scientific inference; Zubarev and his school used both approaches in formulating the NSO method. We describe the main characteristics of statistical Irreversible Thermodynamics and discuss some particular considerations of several authors. We briefly describe how Rosenfeld, Bohr, and Prigogine proposed to derive a thermodynamic uncertainty principle.
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On the Statistical Foundations of Irreversible Thermodynamics
Protein Science, 1999Co-Authors: R Luzzi, Áurea R. Vasconcellos, J. G. RamosAbstract:We briefly, and partially, consider aspects of the present status of phenomenological Irreversible Thermodynamics and nonequilibrium statistical mechanics. After short comments on Classical Irreversible Thermodynamics, its conceptual and practical shortcomings are pointed out, as well as the efforts undertaken to go beyond its limits, consisting of particular approaches to a more general theory of Irreversible Thermodynamics. In particular, a search for statistical-mechanical foundations of Irreversible Thermodynamics, namely, the construction of a statistical Thermodynamics, are based on the Non-equilibrium Statistical Operator Method. This important theory for the treatment of phenomena at the macroscopic level, is based on a microscopic molecular description in the context of a nonequilibrium ensemble formalism. We draw attention to the fact that this method may be considered to be emcompassed within Jaynes' Predictive Statistical Mechanics and based on the principle of maximization of informational entropy. Finally, we describe how, in fact, the statistical method provides foundations to phenomenological Irreversible Thermodynamics, thus giving rise to what can be referred to as Informational Statistical Thermodynamics.
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Microscopic approach to Irreversible Thermodynamics. II. An example from semiconductor physics.
Physical review. A Atomic molecular and optical physics, 1991Co-Authors: Áurea R. Vasconcellos, R Luzzi, Leopoldo S. Garca-colinAbstract:The general theory described in the preceding article [Phys. Rev. A 43, 6622 (1991)] based on the nonequilibrium-statistical-operator method, which provides mechano-statistical foundations for phenomenological Irreversible Thermodynamics, is applied to a specific problem. This is the case of a highly excited plasma in a semiconductor, where fluxes of mass and energy naturally appear, as well as other higher-order fluxes, as basic variables necessary for the description of the macroscopic state of the system. A criterion for the truncation of the basic set of variables is presented. The equations of motion for the macrovariables are derived for the case of a simple model. They have the structure of nonlinear and nonlocal transport equations, which fit into a natural extension of those of linear Irreversible Thermodynamics. In particular, Maxwell-Cattaneo-Vernotte-type equations of extended Irreversible Thermodynamics are recovered, having relaxation times and transport coefficients that may be calculated from the microscopic dynamics of the system composed of averages over the nonequilibrium ensemble. © 1991 The American Physical Society.43126633664
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Microscopic approach to Irreversible Thermodynamics. I. General theory.
Physical review. A Atomic molecular and optical physics, 1991Co-Authors: Áurea R. Vasconcellos, R Luzzi, Leopoldo S. García-colínAbstract:In this paper we show how an extension of the nonequilibrium-statistical-operator method, relying upon the maximum-entropy principle set up by Jaynes [Am. J. Phys. 33, 391 (1965)], may be used to describe the time evolution of an arbitrary many-body system. The Gibbs space of the observables describing the macrostates of the system is extended to include not only the conserved variables, but additional ones whose origin is directly related to the microscopic nature of the system manifested in its Hamiltonian. This allows us to go beyond linear Irreversible Thermodynamics and enter into the domain of what is now known as extended Irreversible Thermodynamics (EIT). Transport equations for the extended basic set of macrovariables are derived, showing that the Maxwell-Cattaneo-Vernotte equations of EIT are obtained. The relaxation times and transport coefficients contained therein can be calculated from the microscopic dynamics of the system averaged over an appropriate nonequilibrium coarse-grained probability density. Other outstanding features of the methods are emphasized and related to already-established results for nonequilibrium systems.43126622663
J. G. Ramos - One of the best experts on this subject based on the ideXlab platform.
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statistical Irreversible Thermodynamics in the framework of zubarev s nonequilibrium statistical operator method
Theoretical and Mathematical Physics, 2018Co-Authors: R Luzzi, J. G. Ramos, Áurea R. Vasconcellos, Clóves G. RodriguesAbstract:We describe the formalism of statistical Irreversible Thermodynamics constructed based on Zubarev’s nonequilibrium statistical operator (NSO) method, which is a powerful and universal tool for investigating the most varied physical phenomena. We present brief overviews of the statistical ensemble formalism and statistical Irreversible Thermodynamics. The first can be constructed either based on a heuristic approach or in the framework of information theory in the Jeffreys-Jaynes scheme of scientific inference; Zubarev and his school used both approaches in formulating the NSO method. We describe the main characteristics of statistical Irreversible Thermodynamics and discuss some particular considerations of several authors. We briefly describe how Rosenfeld, Bohr, and Prigogine proposed to derive a thermodynamic uncertainty principle.
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Statistical Irreversible Thermodynamics in the Framework of Zubarev’s Nonequilibrium Statistical Operator Method
Theoretical and Mathematical Physics, 2018Co-Authors: R Luzzi, J. G. Ramos, Áurea R. Vasconcellos, Clóves G. RodriguesAbstract:We describe the formalism of statistical Irreversible Thermodynamics constructed based on Zubarev’s nonequilibrium statistical operator (NSO) method, which is a powerful and universal tool for investigating the most varied physical phenomena. We present brief overviews of the statistical ensemble formalism and statistical Irreversible Thermodynamics. The first can be constructed either based on a heuristic approach or in the framework of information theory in the Jeffreys-Jaynes scheme of scientific inference; Zubarev and his school used both approaches in formulating the NSO method. We describe the main characteristics of statistical Irreversible Thermodynamics and discuss some particular considerations of several authors. We briefly describe how Rosenfeld, Bohr, and Prigogine proposed to derive a thermodynamic uncertainty principle.
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On the Statistical Foundations of Irreversible Thermodynamics
Protein Science, 1999Co-Authors: R Luzzi, Áurea R. Vasconcellos, J. G. RamosAbstract:We briefly, and partially, consider aspects of the present status of phenomenological Irreversible Thermodynamics and nonequilibrium statistical mechanics. After short comments on Classical Irreversible Thermodynamics, its conceptual and practical shortcomings are pointed out, as well as the efforts undertaken to go beyond its limits, consisting of particular approaches to a more general theory of Irreversible Thermodynamics. In particular, a search for statistical-mechanical foundations of Irreversible Thermodynamics, namely, the construction of a statistical Thermodynamics, are based on the Non-equilibrium Statistical Operator Method. This important theory for the treatment of phenomena at the macroscopic level, is based on a microscopic molecular description in the context of a nonequilibrium ensemble formalism. We draw attention to the fact that this method may be considered to be emcompassed within Jaynes' Predictive Statistical Mechanics and based on the principle of maximization of informational entropy. Finally, we describe how, in fact, the statistical method provides foundations to phenomenological Irreversible Thermodynamics, thus giving rise to what can be referred to as Informational Statistical Thermodynamics.
Leopoldo S. García-colín - One of the best experts on this subject based on the ideXlab platform.
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MICROSCOPIC APPROACH TO Irreversible Thermodynamics. IV: AN EXAMPLE OF GENERALIZED DIFFUSION AND WAVE EQUATIONS
Journal of Non-Equilibrium Thermodynamics, 1995Co-Authors: Áurea R. Vasconcellos, R. Luzzi, Leopoldo S. García-colínAbstract:The theory presented in part III of this series of articles [1], based on Informational Statistical Thermodynamics, provides a far-reaching generalization of the constitutive equations of Linear Irreversible Thermodynamics, recovering as a particular case the Maxwell-Cattaneo equations of Extended Irreversible Thermodynamics. Here we apply these results, as an illustrative example, to the case of a gas of free fermions interacting with a gas of free bosons, with the latter acting as a thermal bath. For the case of heat motion, propagation of damped second sound, or diffusive movement in the overdamped regime, is obtained.o TEXTO COMPLETO DESTE ARTIGO, ESTARÁ DISPONÍVEL À PARTIR DE AGOSTO DE 2015.20211913
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Microscopic Approach to Irreversible Thermodynamics III: Generalized Constitutive Equations
Journal of Non-Equilibrium Thermodynamics, 1995Co-Authors: Áurea R. Vasconcellos, R. Luzzi, Leopoldo S. García-colínAbstract:This paper and the following one are part of a planned sequence of contributions on the question of the mechano-statistical foundations of Irreversible Thermodynamics and generalized hydrodynamics, based on the nonequilibrium statistical operator method via the information entropy ensemble. With this we introduce what can be termed Informational Statistical Thermodynamics. The series of papers amounts to an extension and detailed application of a general formalism initiated in papers I and II (quoted in references [12] and [13]) to study the time evolution of the variables selected to describe the nonequilibrium macroscopic states of an N-body system. These variables are to be chosen according to some criteria which the observer uses to define such states, but are otherwise arbitrary. We consider here the set that includes the ordinary fluxes of Linear Irreversible Thermodynamics (LIT), thus raising these variables to the status of state variables, to recover the results comprising the basis of what is now known as Extended Irreversible Thermodynamics (EIT). The time evolution equations for the fluxes are shown to be of the type of generalized Mori-Langevin equations that are nonlinear and nonlocal in space and in time. Under appropriate approximations such equations are reduced to those of the so-called Maxwell-Cattaneo-Vernotte type contained in EIT, which are generalizations of the usual constitutive equations of LIT. In fact, taking a linear approximation in the fluxes and a local-in-time-approach, and considering a quasi-steady state, the equations represent nonlocal-in-space generalized constitutive-like equations for the fluxes.o TEXTO COMPLETO DESTE ARTIGO, ESTARÁ DISPONÍVEL À PARTIR DE AGOSTO DE 2015.20210311
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Microscopic approach to Irreversible Thermodynamics. I. General theory.
Physical review. A Atomic molecular and optical physics, 1991Co-Authors: Áurea R. Vasconcellos, R Luzzi, Leopoldo S. García-colínAbstract:In this paper we show how an extension of the nonequilibrium-statistical-operator method, relying upon the maximum-entropy principle set up by Jaynes [Am. J. Phys. 33, 391 (1965)], may be used to describe the time evolution of an arbitrary many-body system. The Gibbs space of the observables describing the macrostates of the system is extended to include not only the conserved variables, but additional ones whose origin is directly related to the microscopic nature of the system manifested in its Hamiltonian. This allows us to go beyond linear Irreversible Thermodynamics and enter into the domain of what is now known as extended Irreversible Thermodynamics (EIT). Transport equations for the extended basic set of macrovariables are derived, showing that the Maxwell-Cattaneo-Vernotte equations of EIT are obtained. The relaxation times and transport coefficients contained therein can be calculated from the microscopic dynamics of the system averaged over an appropriate nonequilibrium coarse-grained probability density. Other outstanding features of the methods are emphasized and related to already-established results for nonequilibrium systems.43126622663
David Jou - One of the best experts on this subject based on the ideXlab platform.
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Relationships between rational extended Thermodynamics and extended Irreversible Thermodynamics.
Philosophical transactions. Series A Mathematical physical and engineering sciences, 2020Co-Authors: David JouAbstract:We consider a few conceptual questions on extended Thermodynamics, with the aim to contribute to a higher contact between rational extended Thermodynamics and extended Irreversible Thermodynamics. Both theories take a number of fluxes as independent variables, but they differ in the formalism being used to deal with the exploitation of the second principle (rational Thermodynamics in the first one and classical Irreversible Thermodynamics in the second one). Rational extended Thermodynamics is more restricted in the range of systems to be analysed, but it is able to obtain a wider number of restrictions and deeper specifications from the second law. By contrast, extended Irreversible Thermodynamics is more phenomenological, its mathematical formalism is more elementary, but it may deal with a wider diversity of systems although with less detail. Further comparison and dialogue between both branches of extended Thermodynamics would be useful for a fuller deployment and deepening of extended Thermodynamics. Besides these two approaches, one should also consider the Hamiltonian approach, formalisms with internal variables, and more microscopic approaches, based on kinetic theory or on non-equilibrium ensemble formalisms. This article is part of the theme issue 'Fundamental aspects of nonequilibrium Thermodynamics'.
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Extended Irreversible Thermodynamics: Evolution Equations
Extended Irreversible Thermodynamics, 2009Co-Authors: David Jou, José Casas-vázquez, G. LebonAbstract:Our general purpose is to propose a theory which goes beyond the classical formulation of Irreversible Thermodynamics (CIT). This is achieved by enlarging the space of basic independent variables through the introduction of non-equilibrium variables, such as the dissipative fluxes appearing in the balance equations of mass, momentum and energy. The next step is to find evolution equations for these extra variables. Whereas the evolution equations for the classical variables are given by the usual balance laws, no general criteria exist concerning the evolution equations of the dissipative fluxes, with the exception of the restrictions imposed on them by the second law of Thermodynamics.
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Extended Irreversible Thermodynamics of heat transport A brief introduction
Proceedings of the Estonian Academy of Sciences, 2008Co-Authors: David Jou, José Casas-vázquez, G. LebonAbstract:Current frontiers of technology require generalized transport equations incorporating memory, non-local effects, and non-linear effects. Extended Irreversible Thermodynamics provides such transport equations in a form compatible with the second law of Thermodynamics, and that, for low frequency and short mean-free paths, reduce to the classical transport equations. Here we present the basic concepts of extended Irreversible Thermodynamics, namely, the fluxes as independent variables, and their evolution equations as generalized transport equations obeying the second law of Thermodynamics. We show that these equations cover a rich phenomenology in heat transport, including ther mal waves, phonon hydrodynamics, ballistic transport, and saturatio n in the fluxes for high values of the thermodynamic forces.
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Generalized Transport Equations and Extended Irreversible Thermodynamics
AIP Conference Proceedings, 2008Co-Authors: David JouAbstract:Transport equations incorporating memory and non‐local effects are necessary to describe the response of miniaturized devices submitted to fast perturbations. In general, such equations are not compatible with local equilibrium Thermodynamics, but with extended Irreversible Thermodynamics. In this theory, entropy and entropy flux are extended to incorporate nonequilibrium contributions from the fluxes, which are shown to be related to memory terms and non‐local terms, respectively.
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Extended entropy and Irreversible Thermodynamics of a Lorentz diffusive gas
Physica A: Statistical Mechanics and its Applications, 2007Co-Authors: X. Alvarez, David JouAbstract:Abstract In a recent paper by Gaspard et al. [Physica A 323 (2003) 294] it was shown in detail that the Lorentz diffusive gas is compatible with Irreversible Thermodynamics at the local-equilibrium level of description. In this short note we point out that this compatibility with Irreversible Thermodynamics remains valid, but with a larger domain of physical situations, when one includes in the entropy second-order terms of the diffusion flux.
